Find the principal and general solutions of the following equati
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    Trigonometric Functions

    Multiple Choice QuestionsShort Answer Type

    131. Find the principal and general solutions of the following equations:

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    132. Find the principal and general solutions of the following equation:

    sec space straight x space equals space 2
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    133. Find the principal and general solutions of the following equation:

    cot space straight x space equals space minus square root of 3

    cot space space straight x space equals space minus square root of 3 space space space space space rightwards double arrow space space tan space straight x space equals space minus fraction numerator 1 over denominator square root of 3 end fraction is -ve

    rightwards double arrow x lies in quadrant II or IV.

    ∴                              tan space straight x space equals space minus fraction numerator 1 over denominator square root of 3 end fraction space equals space minus space tan space 30 degree space equals space tan left parenthesis 180 degree minus 30 degree right parenthesis space space or space tan space left parenthesis 360 degree space minus space 30 degree right parenthesis

                                                   equals space tan space 150 degree space or space tan space 330 degree

    rightwards double arrow                             tan space straight x space equals space tan open parentheses fraction numerator 5 straight pi over denominator 6 end fraction close parentheses space space or space space tan open parentheses fraction numerator 11 straight pi over denominator 6 end fraction close parentheses

    ∴   The principal solutions are:  fraction numerator 5 straight pi over denominator 6 end fraction comma space space fraction numerator 11 straight pi over denominator 6 end fraction

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    134. Find the principal and general solutions of the following equation:

    cosec space straight x space equals space minus 2
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    135. Find the general solution of the following equation:

    <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>
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    136. Find the general solution of the following equation:

    sin space 2 straight x space equals space cos space straight x space.
    136 Views
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    137. Find the general solution of the following equation:

    sin x + sin 3x + sin 5x = 0
    145 Views
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    138. Find the general solution of the following equation:

    cos 3x + cos x - cos 2x = 0
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    139.

    Find the general solution of:

    2 space cos squared straight x space minus space 5 space cosx space plus space 2 space equals space 0

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    140.

    Find the general solution of:

    space space space 4 space sin squared straight theta space minus space 8 space cosθ space plus space 1 space equals 0

    138 Views
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